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Finding the Fourth Proportional to 50,197, 69,271.86 and 27,841

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Solution

The fourth proportional to 50,197, 69,271.86 and 27,841 is: 38,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,197 : 69,271.86 = 27,841 : x
  2. Step 2: Convert to fraction form
    50,197/69,271.86 = 27,841/x
  3. Step 3: Cross multiply
    50,197x = 69,271.86 × 27,841
  4. Step 4: Simplify right side
    50,197x = 1,928,597,854.26
  5. Step 5: Solve for x
    x = 1,928,597,854.26/50,197
  6. Step 6: Final answer
    x = 38,420.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.